Details

Time bar (total: 6.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms465×body80valid

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2247
3407
4597
5757
6827
7847
done847

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ x y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

simplify2.8s

Counts
43 → 43
Iterations

Useful iterations: 3 (854.0ms)

IterNodesCost
062516
1185453
2764407
34582361
done5000361

prune59.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (+ x y)) (* y (+ x y)))
0.0b
(* y (+ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*r* frac-add add-cbrt-cube add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*l*
2×associate-+l+ associate-+r+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
6.0ms
(+ (* x (+ x y)) (* y (+ x y)))
10.0ms
(* y (+ x y))

series47.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (* x (+ x y)) (* y (+ x y)))
26.0ms
(* y (+ x y))

simplify581.0ms

Counts
49 → 49
Iterations

Useful iterations: done (579.0ms)

IterNodesCost
093689
1298579
21260517
done5000491

prune76.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (+ x (+ x y)))
0.0b
(+ x (+ x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
28.0ms
(* y (+ x (+ x y)))
7.0ms
(+ x (+ x y))

series58.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (+ x (+ x y)))
21.0ms
(+ x (+ x y))

simplify1.5s

Counts
45 → 45
Iterations

Useful iterations: 3 (459.0ms)

IterNodesCost
063404
1169390
2603338
32819333
done5000333

prune109.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (+ x y)) (+ (* x y) (* y y)))
0.0b
(+ (* x y) (* y y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
6×flip3-+ flip-+
4×associate-*r/ frac-add sum-log
3×distribute-rgt-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity add-cbrt-cube
1×distribute-rgt-in associate-+r+ distribute-lft-in
Counts
2 → 32
Calls
2 calls:
18.0ms
(+ (* x (+ x y)) (+ (* x y) (* y y)))
5.0ms
(+ (* x y) (* y y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* x (+ x y)) (+ (* x y) (* y y)))
37.0ms
(+ (* x y) (* y y))

simplify831.0ms

Counts
38 → 38
Iterations

Useful iterations: done (829.0ms)

IterNodesCost
085791
1310639
21353523
done5000515

prune68.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
done1111

end0.0ms

sample408.0ms

Algorithm
intervals
Results
200.0ms14336×body80valid